34773715458272 has 384 divisors, whose sum is σ = 85245423943680. Its totient is φ = 13626358824960.

The previous prime is 34773715458271. The next prime is 34773715458311. The reversal of 34773715458272 is 27285451737743.

It is a super-2 number, since 2×34773715458272² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34773715458199 and 34773715458208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34773715458271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6873631679 + ... + 6873636737.

It is an arithmetic number, because the mean of its divisors is an integer number (221993291520).

Almost surely, 2^{34773715458272} is an apocalyptic number.

34773715458272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34773715458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622711971840).

34773715458272 is an abundant number, since it is smaller than the sum of its proper divisors (50471708485408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34773715458272 is a wasteful number, since it uses less digits than its factorization.

34773715458272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5506 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 65.

The spelling of 34773715458272 in words is "thirty-four trillion, seven hundred seventy-three billion, seven hundred fifteen million, four hundred fifty-eight thousand, two hundred seventy-two".